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Finding the Fourth Proportional to 3,133.65, 4,700.61 and 1,755.78

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Solution

The fourth proportional to 3,133.65, 4,700.61 and 1,755.78 is: 2,633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.65 : 4,700.61 = 1,755.78 : x
  2. Step 2: Convert to fraction form
    3,133.65/4,700.61 = 1,755.78/x
  3. Step 3: Cross multiply
    3,133.65x = 4,700.61 × 1,755.78
  4. Step 4: Simplify right side
    3,133.65x = 8,253,219.40
  5. Step 5: Solve for x
    x = 8,253,219.40/3,133.65
  6. Step 6: Final answer
    x = 2,633.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.